Thermal Weight Function of Cracked Bodies Subjected to Thermal Loading
Resource
Journal of Engineering Fracture Mechanic,41,27-40.
Journal of Engineering Fracture Mechanics 41: 27-40
Journal
Journal of Engineering Fracture Mechanics
Pages
27-40
Date Issued
1992
Date
1992
Author(s)
Tsai, Chwan-Huei
Abstract
A linear elastic body which contains a crack and is subjected to thermal loading is considered. The conventional weight function method for mechanical loading derived by Rice is extended to thermal loading. The thermal weight function is a universal function for a given cracked body and can be determined from any arbitrary loading system if the stress intensity factor and mean stress field of the system are known as functions of crack length. The thermal weight function may be thought of as Green's function for the stress intensity factor of thermal cracked bodies. Once the thermal weight function is determined, the thermally induced stress intensity factor can be simply and efficiently evaluated through the integration of the product of temperature and thermal weight function of the cracked body. Many complicated thermoelastic cracked problems which may cause difficulty in conventional study may be solved easily by using the thermal weight function method. As a demonstration, some examples of thermal loading problems are solved by the thermal weight function method, and the results are compared with available results in the published literature. © 1991.
Type
journal article